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β-PRECONVEX SETS ON PRECONVEXITY SPACES
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 Title & Authors
β-PRECONVEX SETS ON PRECONVEXITY SPACES
Min, Won-Keun;
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 Abstract
In this paper, we introduce the concept of -preconvex sets on preconvexity spaces. We study some properties for -preconvex sets by using the co-convexity hull and the convexity hull. Also we introduce and study the concepts of -convex function and -convex function.
 Keywords
preconvexity;co-convex sets;convexity;-convex function;-convex function;-preconvex sets;-preconvex sets;
 Language
English
 Cited by
1.
STRONGLY C-CONVEX FUNCTIONS AND ALMOST C-CONVEX FUNCTIONS ON PRECONVEXITY SPACES,;

충청수학회지, 2010. vol.23. 3, pp.481-486
 References
1.
M. D. Guay, An introduction to preconvexity spaces, Acta Math. Hungar. 105 (2004), no. 3, 241–248. crossref(new window)

2.
W. K. Min, Some results on preconvexity spaces, Bull. Korean Math. Soc. 45 (2008), no. 1, 39–44. crossref(new window)

3.
W. K. Min, A note on preconvexity spaces, Honam Math. J. 29 (2007), no 4, 589–595. crossref(new window)

4.
W. K. Min, Semi-preconvex sets on preconvexity spaces, Commun. Korean Math. Soc. 23 (2008), no. 2, 251–256. crossref(new window)

5.
S. A. Naimpally and B. D. Warrack, Proximity Spaces, Cambridge University Press, 1970.